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anonymous

7 years ago

use:
\[\ln (2^{(3x-4)})= \ln5\]

anonymous

7 years ago

Take the logarithm of both sides, and the exponent (3x-4) becomes a coefficient because of logarithm rules.\[(3x-4) \log(2) = \log(5)\]
\[\rightarrow 3x-4 = \log(5)/\log(2) \rightarrow x=\log(5)/(3\log(2))+4/3\]

smurfy14

7 years ago

after the second arrow..how did you get x = log(5)/(3log(2))+4/3? did you divide by three or something?